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Video Poker Strategy Calculator

Introduction

The following table shows the results when following perfect strategy (basic strategy and all of the exceptions):

Perfect Strategy Analysis
HandPayoffCombinationsProbabilityHit FrequencyVarianceReturn
Royal Flush5,873.3333678,649,9680.00003429,371.891,174.010.199964
Straight Flush501,793,480,3160.00009011,114.270.210.004499
Four Aces804,156,902,7080.0002094,795.211.300.016683
Four 2's, 3's, 4's4010,220,388,2640.0005131,950.340.770.020509
Four 5's through K's2531,911,058,1760.001601624.650.910.040022
Full House6223,883,738,1720.01123289.030.270.067390
Flush5217,161,191,6760.01089491.790.160.054472
Straight4202,319,347,7160.01015098.520.080.040599
Three of a Kind31,456,246,362,7200.07305613.690.260.219169
Two Pair22,539,223,421,1920.1273867.850.100.254773
Jacks or Better14,220,074,814,9400.2117114.720.000.211711
Nothing011,025,561,161,3520.5531251.810.710.000000
Totals19,933,230,517,2001.0000002.241,178.781.129792

The following table shows the results when following basic strategy only (not its exceptions):

Basic Strategy Analysis
HandPayoffCombinationsProbabilityHit FrequencyVarianceReturn
Royal Flush5,873.3333678,762,4560.00003429,367.021,174.200.199998
Straight Flush501,807,205,9160.00009111,029.860.220.004533
Four Aces804,189,669,2240.0002104,757.711.310.016815
Four 2's, 3's, 4's4010,220,094,1440.0005131,950.400.770.020509
Four 5's through K's2531,874,507,8320.001599625.370.910.039977
Full House6223,857,439,2000.01123089.040.270.067382
Flush5217,872,142,6680.01093091.490.160.054650
Straight4201,226,448,3640.01009599.060.080.040380
Three of a Kind31,456,056,092,8800.07304713.690.260.219140
Two Pair22,538,921,756,2400.1273717.850.100.254743
Jacks or Better14,217,760,866,0880.2115944.730.000.211594
Nothing011,028,765,532,1880.5532851.810.710.000000
Totals19,933,230,517,2001.0000002.241,178.991.129721

The following table shows the basic strategy:

Basic Strategy
Type of Play Play Details
Pat HandRoyal Flush
4 to a Royal FlushTJQA; TJQK; TJKA; TQKA; JQKA
4 of a Kind
(more)2222; 3333; 4444; 5555; 6666; 7777; 8888; 9999; TTTT; JJJJ; QQQQ; KKKK...
3 of a KindAAA
Pat HandFull House; Straight Flush
3 to a Royal FlushTJA; TJQ; TJK; TQA; TQK; TKA; JQA; JQK; JKA; QKA
3 of a Kind222; 333; 444; 555; 666; 777; 888; 999; TTT; JJJ; QQQ; KKK
Pat HandStraight; Flush
2 Pair
(more)2233; 2244; 2255; 2266; 2277; 2288; 2299; 22TT; 22JJ; 22QQ; 22KK; 22AA...
4 to a Straight Flush
(more)A234; A235; A245; A345; 2345; 2346; 2356; 2456; 3456; 3457; 3467; 3567...
1 PairJJ; QQ; KK; AA
4 to a Flush
(more)2347; 2348; 2349; 234T; 234J; 234Q; 234K; 2357; 2358; 2359; 235T; 235J...
2 to a Royal FlushJK; QK
2 to a Royal FlushJA; JQ; QA; KA
4 to a Straight9TJQ; TJQK; JQKA
1 Pair22; 33; 44; 88; 99; TT
2 to a Royal FlushTJ
1 Pair55; 66; 77
2 to a Royal FlushTA; TQ; TK
4 to a Straight2345; 3456; 4567; 5678; 6789; 789T; 89TJ; TJQA; TJKA; TQKA
3 to a Straight FlushA23; A24; A25; A34; A35; A45; 345; 456; 567; 678; 789; 89T; 89J
4 to a Straight9JQK
3 to a StraightJQK
2 to a StraightJQ
3 to a Straight Flush78J; 79J; 89Q
Single Cardan Ace
2 to a StraightQK
Single Carda Jack; a Queen
3 to a Straight Flush78T; 79T
Single Carda King
3 to a Straight Flush
(more)234; 235; 236; 245; 246; 256; 346; 347; 356; 357; 367; 457; 458; 467...
GarbageDiscard everything

The following table shows the exceptions to the basic strategy:

Basic Strategy Exceptions
Right Play Wrong Play Pattern(s)
Single Card: a JackSingle Card: an Ace
(more)2♣ 3♣ 4♣ J♦ A♥
2 to a Straight: JKSingle Card: a Jack
(more)2♣ 3♣ 4♦ J♣ K♦
Single Card: a Queen2 to a Straight: QK
(more)5♣ 6♣ 7♦ Q♥ K♣
Single Card: a QueenSingle Card: an Ace
(more)2♣ 3♣ 4♦ Q♥ A♦
2 to a Straight: QKSingle Card: an Ace
(more)2♣ 3♦ Q♣ K♥ A♦
Single Card: a King2 to a Straight: QK
(more)2♣ 9♣ 10♦ Q♣ K♥
Single Card: an Ace3 to a Straight Flush: A23
(more)2♣ 3♣ 4♦ 6♦ A♣
Single Card: an Ace3 to a Straight Flush: A24
(more)2♣ 3♦ 4♣ 6♦ A♣
Single Card: an Ace3 to a Straight Flush: A25
(more)2♣ 3♦ 5♣ 6♦ A♣
1 Pair: 772 to a Royal Flush: TJ
(more)7♣ 7♦ 2♣ 10♦ J♦
Single Card: an Ace3 to a Straight Flush: A34
(more)2♣ 3♦ 4♦ 6♣ A♦
Single Card: an Ace3 to a Straight Flush: A35
(more)2♣ 3♦ 5♦ 6♣ A♦
Single Card: an Ace3 to a Straight Flush: A45
(more)2♣ 4♦ 5♦ 6♣ A♦
Single Card: a Jack3 to a Straight Flush: 78J
(more)2♣ 7♦ 8♦ 9♣ J♦
Single Card: a Jack3 to a Straight Flush: 79J
(more)2♣ 7♦ 8♣ 9♦ J♦
2 to a Straight: JKSingle Card: an Ace
(more)2♣ 3♦ J♣ K♥ A♦
2 to a Royal Flush: JQ2 to a Royal Flush: KA
(more)2♣ J♣ Q♣ K♦ A♦
4 to a Straight: TJQK2 to a Royal Flush: JK
(more)2♣ 10♦ J♣ Q♦ K♣
4 to a Straight: TJQK2 to a Royal Flush: QK
(more)2♣ 10♦ J♦ Q♣ K♣
2 to a Royal Flush: TQ1 Pair: 55
(more)5♣ 5♦ 2♣ 10♥ Q♥
2 to a Royal Flush: TQ1 Pair: 66
(more)6♣ 6♦ 2♣ 10♥ Q♥
2 to a Royal Flush: TQ1 Pair: 77
(more)7♣ 7♦ 2♣ 10♥ Q♥
2 to a Royal Flush: TJ1 Pair: 88
(more)8♣ 8♦ 2♣ 10♥ J♥
3 to a Straight Flush: 79J2 to a Straight: JQ
(more)2♣ 7♦ 9♦ J♦ Q♣
Single Card: an Ace2 to a Straight: JQ
(more)8♣ 9♣ J♦ Q♣ A♥
Single Card: a Queen3 to a Straight Flush: 89Q
(more)2♣ 8♦ 9♦ 10♣ Q♦
1 Pair: 552 to a Royal Flush: TJ
(more)5♣ 5♦ 8♥ 10♥ J♥
1 Pair: 662 to a Royal Flush: TJ
(more)6♣ 6♦ 8♥ 10♥ J♥
Single Card: a KingSingle Card: a Jack
(more)2♣ 9♣ 10♦ J♣ K♥
2 to a Royal Flush: QA2 to a Royal Flush: JK
(more)2♣ J♣ Q♦ K♣ A♦
2 to a Royal Flush: JA2 to a Royal Flush: QK
(more)2♣ J♦ Q♣ K♣ A♦
4 to a Straight: 89TJ2 to a Royal Flush: TA
(more)8♣ 9♦ 10♣ J♦ A♣
Single Card: a Jack3 to a Straight Flush: A23
(more)2♣ 3♣ 4♦ J♦ A♣
Single Card: a Jack3 to a Straight Flush: A24
(more)2♣ 3♦ 4♣ J♦ A♣
Single Card: a Jack3 to a Straight Flush: A34
(more)2♣ 3♦ 4♦ J♣ A♦
Single Card: a Jack3 to a Straight Flush: A25
(more)2♣ 3♦ 5♣ J♦ A♣
Single Card: a Jack3 to a Straight Flush: A35
(more)2♣ 3♦ 5♦ J♣ A♦
Single Card: a Jack3 to a Straight Flush: A45
(more)2♣ 4♦ 5♦ J♣ A♦
3 to a Straight Flush: 234Single Card: a King
(more)2♣ 3♣ 4♣ 7♦ K♦
3 to a Straight Flush: 235Single Card: a King
(more)2♣ 3♣ 5♣ 7♦ K♦
3 to a Straight Flush: 245Single Card: a King
(more)2♣ 4♣ 5♣ 7♦ K♦
Single Card: an Ace3 to a Straight Flush: 78J
(more)7♣ 8♣ 9♦ J♣ A♦
Single Card: an Ace3 to a Straight Flush: 79J
(more)7♣ 8♦ 9♣ J♣ A♦
3 to a Straight Flush: 78TSingle Card: a Queen
(more)2♣ 7♦ 8♦ 10♦ Q♣
3 to a Straight Flush: 79TSingle Card: a Queen
(more)2♣ 7♦ 9♦ 10♦ Q♣
3 to a Straight Flush: 346Single Card: a King
(more)3♣ 4♣ 6♣ 8♦ K♦
3 to a Straight Flush: 356Single Card: a King
(more)3♣ 5♣ 6♣ 8♦ K♦
3 to a Straight Flush: 457Single Card: a King
(more)2♣ 4♦ 5♦ 7♦ K♣
3 to a Straight Flush: 467Single Card: a King
(more)2♣ 4♦ 6♦ 7♦ K♣
3 to a Straight Flush: 568Single Card: a King
(more)2♣ 5♦ 6♦ 8♦ K♣
3 to a Straight Flush: 578Single Card: a King
(more)2♣ 5♦ 7♦ 8♦ K♣
Single Card: a Queen3 to a Straight Flush: A23
(more)2♣ 3♣ 4♦ Q♥ A♣
Single Card: a Queen3 to a Straight Flush: A24
(more)2♣ 3♦ 4♣ Q♥ A♣
Single Card: a Queen3 to a Straight Flush: A34
(more)2♣ 3♦ 4♦ Q♥ A♦
Single Card: a Queen3 to a Straight Flush: A25
(more)2♣ 3♦ 5♣ Q♥ A♣
Single Card: a Queen3 to a Straight Flush: A35
(more)2♣ 3♦ 5♦ Q♥ A♦
Single Card: a Queen3 to a Straight Flush: A45
(more)2♣ 4♦ 5♦ Q♥ A♦
3 to a Straight Flush: 689Single Card: a Queen
(more)2♣ 6♦ 8♦ 9♦ Q♣
3 to a Straight Flush: 679Single Card: a King
(more)2♣ 6♦ 7♦ 9♦ K♣
3 to a Straight Flush: 689Single Card: a King
(more)2♣ 6♦ 8♦ 9♦ K♣
4 to a Straight: 89TJ2 to a Royal Flush: TK
(more)8♣ 9♦ 10♦ J♣ K♦
Single Card: a King3 to a Straight Flush: 78T
(more)6♣ 7♦ 8♦ 10♦ K♣
Single Card: a King3 to a Straight Flush: 79T
(more)6♣ 7♦ 9♦ 10♦ K♣
2 to a Straight: JK3 to a Straight Flush: 78J
(more)7♣ 8♣ 9♦ J♣ K♦
2 to a Straight: JK3 to a Straight Flush: 79J
(more)7♣ 8♦ 9♣ J♣ K♦
3 to a Straight Flush: 578Single Card: a Jack5♣ 7♣ 8♣ J♦ K♥
3 to a Straight Flush: 679Single Card: a Jack6♣ 7♣ 9♣ J♦ K♥
3 to a Straight Flush: 689Single Card: a Jack6♣ 8♣ 9♣ J♦ K♥
3 to a Straight Flush: 78J2 to a Straight: JQ7♣ 8♣ J♣ Q♦ A♥
3 to a Straight Flush: 2342 to a Straight: QK2♣ 3♣ 4♣ Q♦ K♥
3 to a Straight Flush: 2352 to a Straight: QK2♣ 3♣ 5♣ Q♦ K♥
3 to a Straight Flush: 2452 to a Straight: QK2♣ 4♣ 5♣ Q♦ K♥
3 to a Straight Flush: 3462 to a Straight: QK3♣ 4♣ 6♣ Q♦ K♥
3 to a Straight Flush: 3562 to a Straight: QK3♣ 5♣ 6♣ Q♦ K♥
3 to a Straight Flush: 4572 to a Straight: QK4♣ 5♣ 7♣ Q♦ K♥
3 to a Straight Flush: 4672 to a Straight: QK4♣ 6♣ 7♣ Q♦ K♥
3 to a Straight Flush: 5682 to a Straight: QK5♣ 6♣ 8♣ Q♦ K♥
3 to a Straight Flush: 5782 to a Straight: QK5♣ 7♣ 8♣ Q♦ K♥
3 to a Straight Flush: 6792 to a Straight: QK6♣ 7♣ 9♣ Q♦ K♥
3 to a Straight Flush: 6892 to a Straight: QK6♣ 8♣ 9♣ Q♦ K♥
3 to a Straight Flush: 78T2 to a Straight: QK7♣ 8♣ 10♣ Q♦ K♥
3 to a Straight Flush: 79T2 to a Straight: QK7♣ 9♣ 10♣ Q♦ K♥
Single Card: an Ace3 to a Straight Flush: 89Q8♣ 9♣ 10♦ Q♣ A♥